Oliy matematika va axborot texnologiyalari kafedrasi oliy matematika fanidan mustaqil ishlarni bajarish bo
Download 0.73 Mb. Pdf ko'rish
|
oliy matematika
|
21 A)
C x 1 x arctg 2
B) C x 1 x 2 arccos
C) C x 1 x 2 arcsin
D) C x 1 x 2 ln . E) C x 1 x 2 71.
x x 2 x 3 x 3 x 2 2 3 2 integralni toping. A)
ln . B)
C 1 x 2 1 x x 2 ln C)
C 1 x 2 1 x x ln D)
C 1 x 2 1 x x 3 ln .
E)
C 1 x 2 1 x x arctg 3
72.
xdx x 7 cos
sin integralni toping. A)
sin B)
C x 8 1 8 sin .
C) C x 8 cos
D)
x 8 1 8 cos E)
C x 7 1 7 sin
73. xdx x 5 3 cos
sin integralni toping. A)
cos cos
B)
C x 6 6 1 x 8 1 8 cos cos
C) C x 6 6 1 x 8 1 2 cos cos
D)
C x 6 6 1 x 8 1 2 sin sin
E)
C x 6 6 1 x 8 1 2 cos cos
74. xdx tg 3 integralni toping. A)
C x tg 1 x tg 2 2 ln
B)
x tg 1 2 1 x tg 2 1 2 2 ln . D) C x tg 1 2 1 x tg 2 1 2 2 ln
E) C x ctg 1 2 1 x ctg 2 1 2 2 ln
E) C x ctg 1 2 1 x ctg 2 1 2 2 ln
75. Satr matritsaning ta’rifini belgilang a. Satrlar soni ustunlar sonidan katta b. Satrlar soni ustunlar sonidan kichik 22 c. Satrlar soni ustunlar soniga teng d. Faqat bitta satrdan iborat e. Faqat bitta satrdan iborat 76. Ustun matritsaning ta’rifini belgilang a. Satrlar soni ustunlar sonidan katta b. Satrlar soni ustunlar sonidan kichik c. Satrlar soni ustunlar soniga teng d. Faqat bitta satrdan iborat e. Faqat bitta satrdan iborat 77.
funksiyaning aniqlanish sohasini toping. A) (-1;1)
B) [-1;1] C)
;
D)
) ; ( ;
1
E) ) ; [ ] ; ( 1 1
78. 4 x 2 x 2 2 x lim
limitning qiymatini toping. A) 2
B) –2 C) 4
D) –4 E) 0
79.
x tgx 0 x sin
lim limitning qiymatini toping. A) 1 B) –1
C) 4
D) – 4
E) 0
80. 1 2 2 3 x x y funksiyaning max va min nuqtalarini toping. A) (0;1) nuqta max, 27 5 3 4 ; nuqta min B) (1;0) nuqta max,
27 5 3 4 ; nuqta min
C) (0;0) nuqta max, 27 5 3 4 ; nuqta min D)
27 5 3 4 ; nuqta max, (0;1) nuqta min E) (0;1) nuqta max, 27 5 3 4 ; nuqta min 81.
? , n y x y 1
A)
1 n n x n y !
B)
n n x n y !
C)
1 n n n x n 1 y !
D)
1 n 1 n n x n 1 y ! E) n n n x n 1 y !
23 82.
? , n y x y 2 1 A)
1 n n x 1 n y )! ( B)
n n x n y !
C)
1 n n n x 1 n 1 y )! (
D)
2 n n n x 1 n 1 y )! (
E)
n n n x n 1 y !
83. 1 2 2 3
x y funksiyaning o’sish oraliqlarini toping. A) (-1;1)
B) [-1;1] C)
; D)
;
E) ) ; ( 1
84. 1 2 2 3
x y funksiyaning kamayish oraliqlarini toping. A) (-1;1)
B) [-1;1] C)
; D)
;
E) ) ; ( 1
85. 1 5 3 2 4 2 x x x n lim limitni toping. A) 2 B) –2
C)
D) –
E) 0
86. x x y ln ning hosilasini toping. A)
ln B) x x 1
C)
x x ln
D) x x ln
E) 0
87. y=sin 2 3x funksiyaning boshlang’ich funksiyasini aniqlang. A)
C x 3 x 3 3 2 x F cos sin
B) C x 3 3 2 x F 2 cos
C) C x 3 6 1 x F sin
D)
C x 3 3 1 x 2 1 x F ) sin (
E) C x 3 3 1 x 2 1 x F ) sin (
88.
x 2 1 x f sin
funksiyaning boshlang’ich funksiyasini aniqlang. A)
C x 2 x 2 1 4 x F cos
) sin
(
B)
C x 2 2 1 x 2 1 x 2 x x F
sin cos
C)
C x 2 2 1 x 2 1 x 2 x x F
sin cos
D)
C x 2 2 1 x 2 1 x 2 x x F
sin cos
E)
C x 2 2 1 x 2 1 x 2 x x F
sin cos
24 89.
x x x f 3 2 cos
sin funksiyaning boshlang’ich funksiyasini aniqlang. A)
С 5 x 3 x x F 5 3 sin
sin
B) С x x x F 5 3 sin
sin
C) С 5 x 3 x x F 5 3 sin
sin
D) С 3 x 5 x x F 3 5 sin
sin
E) С 5 x 3 x 2 1 x F 5 3 sin
sin
90. x x x f 3 2 sin
cos funksiyaning boshlang’ich funksiyasini aniqlang. A)
С 5 x 3 x x F 5 3 cos
cos
B) С x x x F 5 3 cos
cos
C) С 5 x 3 x x F 5 3 cos
cos
D) С 3 x 5 x x F 3 5 cos
cos
E) С 5 x 3 x 2 1 x F 5 3 sin
sin
91. x x f 5 sin
funksiyaning boshlang’ich funksiyasini aniqlang. A)
С 5 x x F 5 cos
B) С 5 x x x F 5 cos
cos
C) С 5 x x x F 5 cos
cos
D) С 5 x x x F 5 cos cos
E) С 5 x x x F 5 sin
sin
92. 2 x x x f 3 funksiyaning boshlang’ich funksiyasini aniqlang. A)
2 x x 2 x x 3 x F 2 3 2 |
